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Q: If ∫x3(√ ((1+x2)/(1-x2)))dx= A √(1-x4) - Bx2(√(1-x4) + C sin-1 (x2) + D ,then A+B+C=?

6 years ago


Answers : (1)


Dear Tapasranjan

∫x3(√ ((1+x2)/(1-x2)))dx= A √(1-x4) - Bx2(√(1-x4) + C sin-1 (x2) + D

differentiate w.r.t x

 and simplify

 x2 +x4 = x2(-2A) + x4(4B) +2C -2B

compair coefficient of same power of x

 -2A =1

  A =-1/2

4B =1


2C -2B =0


now  A+B+C =0

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